explain 3/19-2/17 — step-by-step solution

Let's calculate:

\frac{3}{19} - \frac{2}{17}

ⓘTo add fractions, put them over the same denominator, then add the numerators

\frac{3 \times 17 - 2 \times 19}{19 \times 17}

ⓘMultiplications are done before additions and subtractions:

3 \times 17

(10 + 7) \times 3

10 \times 3 + 7 \times 3

30 + 21

51

‖

-2 \times 19

(10 + 9) \times -2

10 \times -2 + 9 \times -2

- 20 - 18

-38

‖

19 \times 17

19 \times (10 + 7)

19 \times 10 + 19 \times 7

190 + 133

323

\frac{51 - 38}{323}

ⓘThe numerator and the denominator are computed before the division:

51 - 38

13

▶Result:

\frac{13}{323}

The numeric value of:

\frac{13}{323}

equals:

▷

\approx 4.0248 \times 10^{- 2}